Title :
Wavelets for nonlinear systems
Author_Institution :
Ecole Nat. Superieure des Mines de Paris, Fontainebleau, France
Abstract :
We investigate how the structure of multiresolution approximations, which are intimately related to wavelets, can be preserved through the use of a product operator. It appears that the dilatation or subsampling operator is best replaced by a smoothing operator at the nodes. Examples of related “wavelets” are given
Keywords :
interpolation; nonlinear control systems; polynomial approximation; signal processing; wavelet transforms; dilatation operator; multiresolution approximations; product operator; smoothing operator; subsampling operator; wavelets; Algebra; Control systems; Interpolation; Nonlinear control systems; Nonlinear systems; Polynomials; Signal analysis; Signal resolution; Smoothing methods; Time varying systems;
Conference_Titel :
Decision and Control, 1998. Proceedings of the 37th IEEE Conference on
Conference_Location :
Tampa, FL
Print_ISBN :
0-7803-4394-8
DOI :
10.1109/CDC.1998.758489
